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Simplifying -7(2x + -3) = -5(3x + 2) Reorder the terms: -7(-3 + 2x) = -5(3x + 2) (-3 * -7 + 2x * -7) = -5(3x + 2) (21 + -14x) = -5(3x + 2) Reorder the terms: 21 + -14x = -5(2 + 3x) 21 + -14x = (2 * -5 + 3x * -5) 21 + -14x = (-10 + -15x) Solving 21 + -14x = -10 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 21 + -14x + 15x = -10 + -15x + 15x Combine like terms: -14x + 15x = 1x 21 + 1x = -10 + -15x + 15x Combine like terms: -15x + 15x = 0 21 + 1x = -10 + 0 21 + 1x = -10 Add '-21' to each side of the equation. 21 + -21 + 1x = -10 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = -10 + -21 1x = -10 + -21 Combine like terms: -10 + -21 = -31 1x = -31 Divide each side by '1'. x = -31 Simplifying x = -31
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